Formulation of lattice gauge theories for quantum simulations
By E. Zohar, M. Burrello. 2014
175 citations recorded by the source corpus.
We examine the Kogut-Susskind formulation of lattice gauge theories under the light of fermionic and bosonic degrees of freedom that provide a description useful to the development of quantum simulators of gauge invariant models. We consider both discrete and continuous gauge groups and adopt a realistic multi-component Fock space for the definition of matter degrees of freedom. In particular, we express the Hamiltonian of the gauge theory and the Gauss law in terms of Fock operators. The gauge fields are described in two different bases, based on either group elements or group representations. This formulation allows for a natural scheme to achieve a consistent truncation of the Hilbert space for continuous groups, and provides helpful tools to study the connections of gauge theories with topological quantum double and string-net models for discrete groups. Several examples, including the case of the discrete $D_3$ gauge group, are presented.
Subfields: Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/128acaa5f54119f69d02759c6120381f8300271f
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In Atomic and Molecular Physics, and Optics
Citations in the corpus
- Lattice gauge theory simulations in the quantum information era (2016, background): “Finally, we point out that discrete gauge theories can also be defined using different schemes than the quantum linkmodel, such as the prepotential formalism [59,60], or truncation schemes based on the group representations [38,61].”